28 research outputs found
Holmes Rolston III: interview by Theo Horesh
No full textRolston on how we might more wisely approach the "perfect moral storm" of climate change. Ethicists will watch the worldview, the interpretation, the value choices underlying economic analyses. We are at a hinge point in human and Earth history. We have enormous amounts of power but have not learned to control our appetites. How do we value the extinctions of species we are causing? How do we value diversity on our wonderland planet? What are the dangers of entering an Anthropocene Epoch? We can think of Earth as a promised land, a gift. Rolston has seen radical changes in human attitudes and behaviors in his lifetime. He challenges the millennial generation to press for more caring for Earth.Theo Horesh interviewed Holmes Rolston III in 2013
Effective equidistribution of lattice points in positive characteristic
No full textGiven a place ω of a global function field K over a finite field, with associated affine function ring Rω and completion Kω , the aim of this paper is to give an effective joint equidistribution result for renormalized primitive lattice points (a,b)∈Rω2 in the plane Kω2 , and for renormalized solutions to the gcd equation ax+by=1 . The main tools are techniques of Goronik and Nevo for counting lattice points in well-rounded families of subsets. This gives a sharper analog in positive characteristic of a result of Nevo and the first author for the equidistribution of the primitive lattice points in \ZZ2
Effective equidistribution of lattice points in positive characteristic
No full text19 pagesGiven a place of a global function field over a finite field, with associated affine function ring and completion , the aim of this paper is to give an effective joint equidistribution result for renormalized primitive lattice points in the plane , and for renormalized solutions to the gcd equation . The main tools are techniques of Goronik and Nevo for counting lattice points in well-rounded families of subsets. This gives a sharper analog in positive characteristic of a result of Nevo and the first author for the equidistribution of the primitive lattice points in \ZZ^2
-adic Directions of Primitive Vectors
No full textInternational audienceLinnik type problems concern the distribution of projections of integral points on the unit sphere as their norm increases, and different generalizations of this phenomenon. Our work addresses a question of this type: we prove the uniform distribution of the projections of primitive points in the -adic unit sphere, as their (real) norm tends to infinity. The proof is via counting lattice points in semi-simple -arithmetic groups
Equidistribution of primitive lattices in ℝn
No full textWe count primitive lattices of rank d inside Zn as their covolume tends to infinity, with respect to certain parameters of such lattices. These parameters include, for example, the subspace that a lattice spans, namely its projection to the Grassmannian; its homothety class and its equivalence class modulo rescaling and rotation, often referred to as a shape. We add to a prior work of Schmidt by allowing sets in the spaces of parameters that are general enough to conclude the joint equidistribution of these parameters. In addition to the primitive d-lattices Λ themselves, we also consider their orthogonal complements in Zn, A1, and show that the equidistribution occurs jointly for Λ and A1. Finally, our asymptotic formulas for the number of primitive lattices include an explicit bound on the error term
Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution
No full textWe establish effective counting results for lattice points in families of domains in real, complex and quaternionic hyperbolic spaces of any dimension. The domains we focus on are defined as product sets with respect to an Iwasawa decomposition. Several natural diophantine problems can be reduced to counting lattice points in such domains. These include equidistribution of the ratio of the length of the shortest solution (x,y) to the gcd equation bx−ay=1 relative to the length of (a,b), where (a,b) ranges over primitive vectors in a disc whose radius increases, the natural analog of this problem in imaginary quadratic number fields, as well as equidistribution of integral solutions to the diophantine equation defined by an integral Lorentz form in three or more variables. We establish an effective rate of convergence for these equidistribution problems, depending on the size of the spectral gap associated with a suitable lattice subgroup in the isometry group of the relevant hyperbolic space. The main result underlying our discussion amounts to establishing effective joint equidistribution for the horospherical component and the radial component in the Iwasawa decomposition of lattice elements
Joint effective equidistribution of partial lattices in positive characteristic
No full textLet be a place of a global function field over a finite field, with
associated affine function ring and completion , and let . The aim of this paper is to prove an effective triple
joint equidistribution result for primitive partial -lattices
of rank in as their covolume tends to
infinity: of their -linear span in the rank-
Grassmannian space of ; of their shape in the modular
quotient by of the Bruhat-Tits
buildings of ; and of the shape of
in the similar quotient for
, where is
the orthogonal partial -lattice of rank in the
dual space of . The main tools are a new refined
decomposition by blocks of elements of
, techniques of Gorodnik and Nevo for
counting integral points in well-rounded families of subsets of algebraic
groups, and computations of volumes of various homogeneous spaces associated
with partial -lattices
Music Therapy, Regression and Symbolic Distance in Substance Abusers and Their Preferred Music
No full textThe author explores the relationship between recovering substance abusers and music. Music can play a significant part in the self-destructive, obsessive behavior of addicts, contributing to a loss of control over emotions. In therapy, music changes from being a means to becoming the goal. Emotions, memories, and life stories evoked by music are validated and contained. The stories of two addicts are related. They both speak about a regressive experience while listening to music, during which boundaries between themselves and their music are erased. Rehabilitating music-listening habits of addicts can help them to incorporate music into their lives as a source of enjoyment and enrichment
The role of civil society organizations in social assistance policy in Brazil: tensions and dilemmas in the provision of services
No full textEsta dissertação discute os dilemas e tensões envolvidos na provisão de serviços socioassistenciais por atores não-estatais, por meio da compreensão da atual dinâmica de papeis e relações entre Estado e organizações da sociedade civil (OSC) na área da assistência social no Brasil, sobretudo frente às reconfigurações na política nacional ocorridas no período recente (a partir dos anos 2000) o que tem como marco o Sistema Único da Assistência Social (SUAS). Para tal, buscou-se analisar o processo de constituição do papel das OSC na área da assistência social no Brasil no último século, identificando os efeitos dos principais marcos temporais e normativos desta trajetória, para, assim, discutir o significado da criação e implementação do SUAS no que se refere às relações entre Estado e OSC; além disso, pretendeu-se identificar as diferentes concepções a respeito do atual papel das OSC na política pública de assistência social. Entre as principais tendências e resultados identificados, observou-se uma expressiva participação das OSC na composição (junto com o poder público) da oferta de serviços do SUAS, realidade esta bastante heterogênea territorialmente no país. É possível destacar também um processo de mudança de concepções hegemônicas a respeito da participação privada na oferta dos serviços do SUAS ao longo do processo de implementação deste sistema, com crescente reconhecimento, legitimação e, sobretudo, regulamentação de sua atuação na lógica dessa política nacional. Apesar do intenso esforço de regulamentação da atuação das OSC na política pública de assistência social, observou-se que o modo como os direcionamentos do SUAS são implementados por elas não é uniforme e pode envolver diferentes dinâmicas, que variam de acordo com os perfis organizacionais, os recursos de poder e os contextos territoriais e institucionais locais.This Dissertation aims to discuss tensions and dilemmas in the provision of social assistance services by non-state actors, approaching the dynamics among state and civil society organizations (CSOs) in the field of social assistance in Brazil, especially concerning the current political context (from the 2000s) - which is defined by the performance of the Unified Social Assistance System (USAS). To this end, changes in the role of CSOs in the field of social assistance in Brazil are analysed, while effects of major events and regulatory frameworks are identified. Accordingly, the meaning and the implementation process of the USAS is discussed with regard to the state-CSOs relationship. Furthermore, the aim of this investigation was to identify the various conceptions of the current role of CSOs in social assistance policies. Among the main trends and results described, a significant participation of CSOs (in partnership with the government) in providing USAS services is prominent, besides a very heterogeneous reality in the country. A process of change in the hegemonic conceptions of private participation in the provision of USAS services throughout the system implementation was highlighted, mainly a growing recognition, legitimacy and, above all, regulation of its activities in the logics of national policy. In spite of the intense effort for regulating CSOs social assistance actions, it was observed that the way that the USAS directions are implemented by them is not uniform and may involve different dynamics that vary significantly corresponding to their organizational profiles, their power resources as well as their territorial and local institutional context
